Pietro Sabatino

activity

20102026

most citedOn factoriality of threefolds with isolated singularities

7 citations · 9 across the 10 of their papers we have counts for

collaborators

10 papers

math.AG2026

On the genus of a curve in a projective $3$ -fold

Vincenzo Di Gennaro, Antonio Rapagnetta, Pietro Sabatino

Let $X \subset P^{r}$ be a projective factorial variety of dimension $3$ , degree $n$ , with at worst isolated singularities. Assume that the Picard group of $X$ is generated by…

math.GR2025

On finite quotients of surface braid groups having order at most $127$

Francesco Polizzi, Pietro Sabatino

Let $Σ_{b}$ be a compact Riemann surface of genus $b \geq 2$ and let $P_{2} (Σ_{b}) = π_{1} (Σ_{b} \times Σ_{b} - Δ)$ be the corresponding pure braid group on two strands. A finite quotie…

math.AG2025

Groups of order 64 and non-homeomorphic double Kodaira fibrations with the same biregular invariants

Francesco Polizzi, Pietro Sabatino

Let $Σ_{b}$ be a closed Riemann surface of genus $b$ . We investigate finite quotients $G$ of the pure braid group on two strands $P_{2} (Σ_{b})$ which do not factor through $π_1(…

math.GT2021★ 1 cited

Finite quotients of surface braid groups and double Kodaira fibrations

Francesco Polizzi, Pietro Sabatino

Let $Σ_{b}$ be a closed Riemann surface of genus $b$ . We give an account of some results obtained in the recent papers \cite{CaPol19, Pol20, PolSab21} and concerning what we call her…

math.AG2021★ 1 cited

Extra-special quotients of surface braid groups and double Kodaira fibrations with small signature

Francesco Polizzi, Pietro Sabatino

We study some special systems of generators on finite groups, introduced in previous work by the first author and called "diagonal double Kodaira structures", in order to investiga…

math.AG2019

An explicit bound for the log-canonical degree of curves on open surfaces

Pietro Sabatino

Let $X$ , $D$ be a smooth projective surface and a simple normal crossing divisor on $X$ , respectively. Suppose $κ (X, K_{X} + D) \geq 0$ , let $C$ be an irreducible curve on $X$ whose su…

math.AP2018

A weak comparison principle in tubular neighbourhoods of embedded manifolds

Francesco Polizzi, Pietro Sabatino, Berardino Sciunzi

We study weak solutions to degenerate quasilinear elliptic equations, involving first order terms, in unbounded tubular domains. In particular we show that, under suitable hypothes…

math.AG2013★ 7 cited

On factoriality of threefolds with isolated singularities

Francesco Polizzi, Antonio Rapagnetta, Pietro Sabatino

We investigate the existence of complete intersection threefolds $X \subset P^{n}$ with only isolated, ordinary multiple points and we provide some sufficient conditions for…

math.AG2010

Surfaces with nontrivial surjective endomorphisms of any given degree

Antonio Rapagnetta, Pietro Sabatino

We present a complete classification of complex projective surfaces $X$ with nontrivial self-maps (i.e. surjective morphisms $f : X \to X$ which are not isomorphisms) of any g…

math.AG2010

On homaloidal polynomial functions of degree 3 and prehomogeneous vector spaces

Pierre-Emmanuel Chaput, Pietro Sabatino

In this paper we consider homaloidal polynomial functions $f$ such that their multiplicative Legendre transform $f_{*}$ , defined as in \cite[Section3.2]{MR1890194}, is again polynomi…

On the genus of a curve in a projective 3-fold

On finite quotients of surface braid groups having order at most 127

Groups of order 64 and non-homeomorphic double Kodaira fibrations with the same biregular invariants

Finite quotients of surface braid groups and double Kodaira fibrations

Extra-special quotients of surface braid groups and double Kodaira fibrations with small signature

An explicit bound for the log-canonical degree of curves on open surfaces

A weak comparison principle in tubular neighbourhoods of embedded manifolds

On factoriality of threefolds with isolated singularities

Surfaces with nontrivial surjective endomorphisms of any given degree

On homaloidal polynomial functions of degree 3 and prehomogeneous vector spaces

On the genus of a curve in a projective $3$ -fold

On finite quotients of surface braid groups having order at most $127$